Finding the Third Proportional to 264,856 and 403,404

Step by Step Solution

1. Step 1: Write the proportion equation
   264,856 : 403,404 = 403,404 : x
2. Step 2: Convert to fraction form
   264,856/403,404 = 403,404/x
3. Step 3: Cross multiply
   264,856x = 403,404 × 403,404
4. Step 4: Simplify right side
   264,856x = 162,734,787,216
5. Step 5: Solve for x
   x = 162,734,787,216/264,856
6. Step 6: Final answer
   x = 614,427.41